Interpolation properties of a scale of spaces.

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A scale of function spaces is considered which proved to be of considerable importance in analysis. Interpolation properties of these spaces are studied by means of the real interpolation method. The main result consists in demonstrating that this scale is interpolated in a way different from that for Lp spaces, namely, the interpolation space is not from this scale.

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@article{Lerner2003, abstract = {A scale of function spaces is considered which proved to be of considerable importance in analysis. Interpolation properties of these spaces are studied by means of the real interpolation method. The main result consists in demonstrating that this scale is interpolated in a way different from that for Lp spaces, namely, the interpolation space is not from this scale.}, author = {Lerner, A. K., Liflyand, L.}, journal = {Collectanea Mathematica}, keywords = {Interpolación; Espacios de funciones medibles; interpolation; real method; K-functional}, language = {eng}, number = {2}, pages = {153-161}, title = {Interpolation properties of a scale of spaces.}, url = {http://eudml.org/doc/43066}, volume = {54}, year = {2003},}

TY - JOURAU - Lerner, A. K.AU - Liflyand, L.TI - Interpolation properties of a scale of spaces.JO - Collectanea MathematicaPY - 2003VL - 54IS - 2SP - 153EP - 161AB - A scale of function spaces is considered which proved to be of considerable importance in analysis. Interpolation properties of these spaces are studied by means of the real interpolation method. The main result consists in demonstrating that this scale is interpolated in a way different from that for Lp spaces, namely, the interpolation space is not from this scale.LA - engKW - Interpolación; Espacios de funciones medibles; interpolation; real method; K-functionalUR - http://eudml.org/doc/43066ER -